##### Department of Mathematics,

University of California San Diego

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### Math 209 - Number Theory

## Kevin O'Bryant

#### UCSD

## Extended constructions of Sidon-type sets

##### Abstract:

Abstract: An $(h,g)$ Sidon set is a set $S$ of integers with the property that the coefficients of $(\sum_{s \in S} z^s)^h$ are bounded by $g$. These arose naturally is Simon Sidon's study of Fourier Series, and have become a standard topic in combinatorial number theory. I will present joint work with Greg Martin giving constructions of such sets, and discuss numerous open problems.

Host:

### May 27, 2004

### 2:00 PM

### AP&M 6438

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